The Automorphism Group of the Petersen Graph is Isomorphic to $S_5$
History and Overview
2020-12-08 v1 Group Theory
Abstract
The automorphism group of the Petersen Graph is shown to be isomorphic to the symmetric group on 5 elements. The image represents the Petersen Graph with the ten 3-element subsets of as vertices. Two vertices are adjacent when they have precisely one element in common.
Cite
@article{arxiv.2012.02942,
title = {The Automorphism Group of the Petersen Graph is Isomorphic to $S_5$},
author = {Japheth Wood},
journal= {arXiv preprint arXiv:2012.02942},
year = {2020}
}
Comments
1 page, 2 figures